Proportional or Not?
From Tables
From Equations
From Graphs
Word Problems
100
Does the table represent a proportional relationship or not? Be able to explain your answer.
Not Proportional, when dividing y/x they do not all equal the same constant of proportionality.
100
What is the constant of proportionality?
45
100
What is the constant of proportionality?
y=0.6x
0.6
100
The ordered pair on a graph of a proportional relationship is (5, 15). What is the constant of proportionality?
3
100
A pool pump fills 1/6 of a pool in 1/3 of an hour.
How much of the swimming pool is filled in one hour?
What is 1/2 of the pool?
200
Does the table represent a proportional relationship? Be able to explain your answer.
Yes, all equal the same constant of proportionality.
200
Write an equation that shows the proportional relationship.
y =12x
200
Given the equation y=4x what is y when x= 7?
y=28
200
What is the constant of proportionality?
5
200
David is making his own strawberry yogurt. He uses 4 cups of milk for every 14 strawberries. Write an equation that represents the situation.
y=3.5x
300
Does the graph represent a proportional relationship? Be able to explain your answer.
Yes, it goes through the origin and is a linear line.
300
How much would it cost for 12 adults to go to the amusement park?
$900
300
Select all the equations that show a proportional relationship:
1. y = 6x
2. y = 12x
3. x = 4y
4. y = 2x + 3
5. y = (1/2)x
1, 2, and 5
300
Write an equation that represents the relationship.
y=5x
300
The graph above represents how many laps Luke can run in minutes. What does the ordered pair (0.5,1) represent in the situation?
Luke can run 1 lap in 1/2 of a minute.
400
Which equations represent a proportional relationship? Select ALL that apply.
A. y=-3x + 4 C. y=x
B. x= 6y D. y=100x
B & C & D
400
How many cups of flour would be in 7 loaves of bread?
14
400
Bananas are $0.59 per pound. How much would 25 pounds of bananas cost?
$14.75
400
The point (5, 21) is on the graph of a proportional relationship. What other points are on the graph? Select ALL that apply.
A. (8, 33.6) C. (3, 12.6) E. (11, 46)
B. (4, 16.5) D. (0,0) F. (2, 8.4)
A, C, D, F
400
If 5/6 gallon of paint covers 1/4 of a house, how much paint is needed to paint the entire house?
What is 3 1/3?
500
Would these points lie on the same, proportional line?
(3, 9), (12, 36), and (4, 12)
Yes
500
Find the missing values of the table
x= 4
y= 20
500
Two inches of snow falls in 25 minutes. Write an equation that describes how the amount of snow (s) is proportional to time (t).
s = 0.08t or s = (2/25)t
500
What does the ordered pair (8,40) represent in the situation?
For every 8 pounds of sugar there is 40 cups.
500
A movie theater has reduced movie ticket prices for the early afternoon show. A group of 4 students go to the show and pay $26. At this rate, how much would 30 students pay to see a movie?
$195